λ
Harmonic Matrix

1,563,017

1563017
Deficient Odd Prime

1,563,017 has digital root 5. The neighboring primes are 1562999 and 1563019; its proper-divisor sum differs from the starting integer by -1,563,016.

Prime Factor Structure

Factorization String 1563017
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,563,018
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1562999 ← → #1563019

Radix Representation

Decimal 1563017
Binary 101111101100110001001 (21 bits)
Octal 0o5754611
Hexadecimal 0x17D989

Divisor Catalog (2)

Collatz Trajectory (132 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,563,017 4,689,052 2,344,526 1,172,263 3,516,790 1,758,395 5,275,186 2,637,593 7,912,780 3,956,390 1,978,195 5,934,586 2,967,293 8,901,880 4,450,940 2,225,470 1,112,735 3,338,206 1,669,103 5,007,310 2,503,655 7,510,966 3,755,483 11,266,450 5,633,225 16,899,676 8,449,838 4,224,919 12,674,758 6,337,379 19,012,138 9,506,069 28,518,208 14,259,104 7,129,552 3,564,776 1,782,388 891,194 445,597 1,336,792 668,396 334,198 167,099 501,298 250,649 751,948 375,974 187,987 563,962 281,981 845,944 422,972 211,486 105,743 317,230 158,615 475,846 237,923 713,770 356,885

More profiles

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